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We present a detailed study of the equilibrium properties and stochastic dynamic evolution of the U(1)-invariant relativistic complex field theory in three dimensions. This model has been used to describe, in various limits, properties of…

Superconductivity · Physics 2017-01-04 Michikazu Kobayashi , Leticia F. Cugliandolo

It is suggested that the center vortex confinement mechanism, familiar in hadronic physics, may have some relevance to high-T$_\text{c}$ phenomena. We focus specifically on the transition from the superconducting phase to the pseudogap…

Strongly Correlated Electrons · Physics 2019-11-22 Jeff Greensite , Kazue Matsuyama

The superfluid density is calculated theoretically for incompressible vortex lattices in two dimensions that have isolated dislocations quenched in by a random arrangement of pinned vortices. The latter are assumed to be sparse and to be…

Superconductivity · Physics 2007-05-23 J. P. Rodriguez

A long-range effective action is derived for strong-coupling lattice SU(2) gauge theory in D=3 dimensions. It is shown that center vortices emerge as stable saddlepoints of this action.

High Energy Physics - Lattice · Physics 2008-11-26 M. Faber , J. Greensite , S. Olejnik

As is well-known, two-dimensional and three-dimensional superfluids under rotation can support topological excitations such as quantized point vortices and line vortices respectively. Recently, we have studied how, in a hypothetical…

Quantum Gases · Physics 2024-09-20 Ben McCanna , Hannah M. Price

We study the SU(2) gauge-Higgs system in D=4 dimensions, and analyze the influence of the fundamental-representation Higgs field on the vortex content of the gauge field. It is shown that center projected Polyakov lines, at low temperature,…

High Energy Physics - Lattice · Physics 2008-11-26 Roman Bertle , Manfried Faber , Jeff Greensite , Stefan Olejnik

Superconducting vortices can reveal electron pairing details and nucleate topologically protected states. Yet, vortices of bulk spin-triplet superconductors have never been visualized. Recently, UTe$_2$ has emerged as a nominative…

Formation and evolution of topological defects in course of non-equilibrium symmetry breaking phase transitions is of wide interest in many areas of physics, from cosmology through condensed matter to low temperature physics. Its study in…

High Energy Physics - Theory · Physics 2021-03-17 Hua-Bi Zeng , Chuan-Yin Xia , Hai-Qing Zhang

We study the relation between center vortex fluxes and monopole fluxes for $SU(2)$ gauge group in a model. This model is the same as thick center vortex model but we use monopole-antimonopole configurations instead of center vortices in the…

High Energy Physics - Phenomenology · Physics 2016-12-28 Seyed Mohsen Hosseini Nejad , Sedigheh Deldar

The structure and energetics of superflow around quantized vortices, and the motion inherited by these vortices from this superflow, are explored in the general setting of the superfluidity of helium-four in arbitrary dimensions. The…

Statistical Mechanics · Physics 2009-11-13 Paul M. Goldbart , Florin Bora

The topological charge is constructed for SU(3) center vortex world-surfaces composed of elementary squares on a hypercubic lattice. In distinction to the SU(2) case investigated previously, it is necessary to devise a proper treatment of…

High Energy Physics - Lattice · Physics 2009-08-25 Michael Engelhardt

The influence of centre vortices on dynamical chiral symmetry breaking is investigated through the light hadron spectrum on the lattice. Recent studies of the quark propagator and other quantities have provided evidence that centre vortices…

High Energy Physics - Lattice · Physics 2021-04-08 Amalie Trewartha , Waseem Kamleh , Derek Leinweber

We use Monte Carlo simulations to study the finite temperature behavior of vortices in the XY- model for tangent vector order on curved backgrounds. Contrary to naive expectations, we show that the underlying geometry does not affect the…

Statistical Mechanics · Physics 2018-01-24 Leopoldo R. Gómez , Nicolás A. García , Daniel A. Vega , José Lorenzana

We investigate the dynamics of second order phase transitions in two dimensions, breaking a gauged U(1) symmetry. Using numerical simulations, we show that the density of topological defects formed scales with the quench timescale $\tau_Q$…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andrew Yates , Wojciech H. Zurek

The structures of confining vortices which underlie pure SU(3) Yang-Mills theory are studied by means of lattice gauge theory. Vortices and Z_3 monopoles are defined as dynamical degrees of freedom of the Z_3 gauge theory which emerges by…

High Energy Physics - Lattice · Physics 2008-11-26 Kurt Langfeld

We further investigate center vortex percolation and Coulomb gauge remnant symmetry breaking in the SU(2) gauge-Higgs model. We show that string breaking is visible in Polyakov line correlators on the center projected lattice, that our…

High Energy Physics - Lattice · Physics 2009-11-11 J. Greensite , S. Olejnik

We study a two-phase sample of superfluid 3He where vorticity exists in one phase (3He-A) but cannot penetrate across the interfacial boundary to a second coherent phase (3He-B). We calculate the bending of the vorticity into a surface…

Condensed Matter · Physics 2009-11-10 R. Hänninen , R. Blaauwgeers , V. B. Eltsov , A. P. Finne , M. Krusius , E. V. Thuneberg , G. E. Volovik

We consider the SU(2) lattice gauge model. We propose a new gauge invariant definition of center projection, which we call the Simple Center Projection. We demonstrate the center dominance, i.e., the coincidence of the projected potential…

High Energy Physics - Lattice · Physics 2009-10-31 B. L. G Bakker , A. I. Veselov , M. A. Zubkov

For SU(3) lattice gauge theory we study properties of static quark sources represented by local Polyakov loops. We find that for temperatures both below and above T_c coherent domains exist where the phases of the local loops have similar…

High Energy Physics - Lattice · Physics 2014-11-20 Christof Gattringer

The random vortex world-surface model is extended to the gauge groups SU(4) and Sp(2). Compared to the SU(2) and SU(3) models studied previously, which reproduce the infrared properties of the corresponding Yang-Mills theories on the basis…

High Energy Physics - Lattice · Physics 2008-11-26 M. Engelhardt , B. Sperisen
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